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Finding the Fourth Proportional to 315,448, 473,169.36 and 78,789.08

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Solution

The fourth proportional to 315,448, 473,169.36 and 78,789.08 is: 118,182.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,448 : 473,169.36 = 78,789.08 : x
  2. Step 2: Convert to fraction form
    315,448/473,169.36 = 78,789.08/x
  3. Step 3: Cross multiply
    315,448x = 473,169.36 × 78,789.08
  4. Step 4: Simplify right side
    315,448x = 37,280,578,558.59
  5. Step 5: Solve for x
    x = 37,280,578,558.59/315,448
  6. Step 6: Final answer
    x = 118,182.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.